2) Secondary 4 Additional Mathematics (yearly access)

1) Simultaneous Linear and Non-Linear Equations
9 Topics | 2 Quizzes
What are Simultaneous Equations
Linear Equations
Non-Linear Equations
How to solve Simultaneous Equations involving Linear Equations using Substitution Method
Interpreting Simultaneous Equations involving Linear Equations on a graph
Practice Question 1 – How to solve Simultaneous Equations involving Linear Equations using Substitution Method
MCQ Quiz : How to solve Simultaneous Equations involving Linear Equations using Substitution Method
How to solve Simultaneous Equations involving Non-Linear Equations using Substitution Method
Interpreting Simultaneous Equations involving Non-Linear Equations on a graph
Practice Question 2 – How to solve Simultaneous Equations involving Non-Linear Equations using Substitution Method
MCQ Quiz : How to solve Simultaneous Equations involving Non-Linear Equations using Substitution Method
2) Quadratic Equations and Inequalities
33 Topics | 10 Quizzes
Understanding coefficients in Quadratic Equations
MCQ Quiz : Understanding coefficients in Quadratic Equations
Refresher on Basic Inequalities
Solving Quadratic Inequalities and representing the solution on the number line – Portion of the curve below the x-axis
Solving Quadratic Inequalities and representing the solution on the number line – Portion of the curve above the x-axis
Practice Question 1 – Solving Quadratic Inequalities and representing the solution on the number line
Practice Question 2 – Solving Quadratic Inequalities and representing the solution on the number line
MCQ Quiz : Solving Quadratic Inequalities and representing the solution on the number line
How are the roots of the quadratic equation related to the sign of the discriminant
Summary – How are the roots of the quadratic equation related to the sign of the discriminant
MCQ Quiz : How are the roots of the quadratic equation related to the sign of the discriminant
How are the roots of the quadratic equation related to its discriminant when the discriminant is greater than 0
How are the roots of the quadratic equation related to its discriminant when the discriminant is equal to 0
How are the roots of the quadratic equation related to its discriminant when the discriminant is less than 0
Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
Practice Question 3a – Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
Practice Question 3b – Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
MCQ Quiz : Conditions for a quadratic equation to have two distinct real roots and how this relates to a case where a line intersects a given curve at two points
Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
Practice Question 4a – Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
Practice Question 4b – Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
MCQ Quiz : Conditions for a quadratic equation to have two equal real roots and how this relates to a case where a line is a tangent to a given curve
Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
Practice Question 5a – Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
Practice Question 5b – Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
MCQ Quiz : Conditions for a quadratic equation to have no real roots and how this relates to a case where a line does not intersect a given curve
Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
Practice Question 6a – Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
Practice Question 6b – Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
MCQ Quiz : Conditions for a quadratic equation to have real roots and how this relates to a case where a line intersects a given curve
Conditions for quadratic expression to be always positive when a>0
Practice Question 7a – Conditions for quadratic expression to be always positive when a>0
MCQ Quiz : Conditions for quadratic expression to be always positive when a>0
Conditions for quadratic expression to be always negative when a<0
Practice Question 7b – Conditions for quadratic expression to be always negative when a<0
MCQ Quiz : Conditions for quadratic expression to be always negative when a<0
Conditions for quadratic expression to be always positive when a>0 (or always negative when a<0) - Thinking Questions
Completing The Square
Practice Question 8a – Completing The Square, a>0
Practice Question 8b – Completing The Square, a>0
Practice Question 8c – Completing The Square, a<0
Practice Question 8d – Completing The Square, a<0
MCQ Quiz : Completing The Square
3) Surds and Indices
30 Topics | 7 Quizzes
What are Surds
What are Surds – Rules of Surds
Practice Question 1a – Simplifying of Surds
Practice Question 1b – Simplifying of Surds
Practice Question 1c – Simplifying of Surds
Practice Question 1d – Simplifying of Surds
Practice Question 1e – Simplifying of Surds
Practice Question 1f – Simplifying of Surds
MCQ Quiz : Simplifying of Surds
Practice Question 2a – Simplifying of Surds (Addition and Subtraction of Surds)
Practice Question 2b – Simplifying of Surds (Addition and Subtraction of Surds)
MCQ Quiz : Simplifying of Surds (Addition and Subtraction of Surds)
Practice Question 3a – Simplifying of Surds (Multiplication of Surds)
Practice Question 3b – Simplifying of Surds (Multiplication of Surds)
MCQ Quiz : Simplifying of Surds (Multiplication of Surds)
Conjugate Surd
MCQ Quiz : Conjugate Surd
Rationalizing the Denominator and Division of Surds
Practice Question 4a – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4b – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4c – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4d – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4e – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 4f – Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
MCQ Quiz : Simplifying of Surds (Division of Surds and Rationalizing the Denominator)
Practice Question 5a – Division of Surds and Rationalizing the Denominator (Questions involving Area)
Solving Equations involving Surds
Practice Question 6a – Solving Equations Involving Surds
Practice Question 6b – Solving Equations Involving Surds
Practice Question 6c – Solving Equations Involving Surds
Practice Question 6d – Solving Equations Involving Surds
MCQ Quiz : Solving Equations Involving Surds
Equality of Surds
Practice Question 7a – Solving for unknowns using Equality of Surds
Practice Question 7b – Solving for unknowns using Equality of Surds
MCQ Quiz : Solving for unknowns using Equality of Surds
Laws of Indices
4) Logarithmic and Exponential Functions
44 Topics | 9 Quizzes
What is a Function (Recap)
Euler’s Number, e
Exponential Function
Graph of Exponential Function
Graph of Natural Exponential Function
Logarithmic Function
Graph of Logarithmic Function
Graph of Natural Logarithmic Function
Logarithms
Common Logarithms
Natural Logarithms
Practice Question 1a – Converting to Logarithmic Form and Index Form
Practice Question 1b – Converting to Logarithmic Form and Index Form
Practice Question 1c – Converting to Logarithmic Form and Index Form
Practice Question 1d – Converting to Logarithmic Form and Index Form
MCQ Quiz : Converting to Logarithmic Form and Index Form
Practice Question 2a – Solving Logarithmic Equations
Practice Question 2b – Solving Logarithmic Equations
MCQ Quiz : Solving Logarithmic Equations
Practice Question 3 – Evaluating Logarithmic Expressions
MCQ Quiz : Evaluating Logarithmic Expressions
Laws of Logarithms (Power Law)
Practice Question 4a – Using Power Law
Practice Question 4b – Using Power Law
MCQ Quiz : Using Power Law
Laws of Logarithms (Product Law)
Practice Question 5a – Using Product Law
Practice Question 5b – Using Product Law
MCQ Quiz : Using Product Law
Laws of Logarithms (Quotient Law)
Practice Question 6a – Using Quotient Law
Practice Question 6b – Using Quotient Law
MCQ Quiz : Using Quotient Law
Laws of Logarithms (Change-of-Base Law)
Practice Question 7a – Using Change-of-Base Law
Practice Question 7b – Using Change-of-Base Law
MCQ Quiz : Using Change-of-Base Law
Logarithmic Equations
Practice Question 8 – Solving Logarithmic Equations
Practice Question 9 – Solving Logarithmic Equations using Substitution
MCQ Quiz : Solving Logarithmic Equations
Exponential Equations
Solving Exponential Equations by taking logarithms on both sides
Solving Exponential Equations by taking common logarithms on both sides (Using lg)
Solving Exponential Equations by taking natural logarithms on both sides (Using ln)
Solving Exponential Equations by taking natural logarithms on both sides (Using ln)
Practice Question 10a – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10b – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10c – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10d – Solving Exponential Equations by taking logarithms on both sides
Practice Question 10e – Solving Exponential Equations without taking logarithms on both sides
MCQ Quiz : Solving Exponential Equations by taking logarithms on both sides
Practice Question 11 – Application of Exponential and Logarithmic Functions
5) Polynomials
19 Topics | 7 Quizzes
What are Polynomials
What are Polynomials – Degree of Polynomials
MCQ Quiz : What are Polynomials – Degree of Polynomials
What are Polynomials – How to denote Polynomials
What are Polynomials – Adding, Subtracting and Multiplying Polynomials
What are Polynomials – Finding coefficient of a particular term without expanding polynomials
Practice Question 1 – Adding, subtracting and multiplying Polynomials
Practice Question 2 – Evaluating Polynomial with a given x value
MCQ Quiz : Evaluating Polynomial with a given x value
What are identities
Practice Question 3 – Finding unknown(s) in an identity in x
MCQ Quiz : Finding unknown(s) in an identity in x
Sum of Cubes and Difference of Cubes
Dividing Polynomials
Practice Question 4 – Dividing Polynomials
MCQ Quiz : Dividing Polynomials
Remainder Theorem
Practice Question 5 – Remainder Theorem
MCQ Quiz : Remainder Theorem
Factor Theorem
Practice Question 6a – Factor Theorem
Practice Question 6b – Factor Theorem
MCQ Quiz : Factor Theorem
Solving Cubic Equations
Practice Question 7 – Solving Cubic Equations
MCQ Quiz : Solving Cubic Equations
6) Partial Fractions
11 Topics | 4 Quizzes
What are Partial Fractions
What are Partial Fractions – Degree, Proper, Improper and Long Division
Partial Fractions – Linear Factor
Practice Question 1 – Linear Factor
MCQ Quiz : Linear Factor
Partial Fractions – Repeated Linear Factor
Practice Question 2 – Repeated Linear Factor
MCQ Quiz : Repeated Linear Factor
Partial Fractions – Quadratic Factor which cannot be factorised
Practice Question 3 – Quadratic Factor which cannot be factorised
MCQ Quiz : Quadratic Factor which cannot be factorised
Linear Factor, Repeated Linear Factor and Quadratic Factor
Partial Fractions – Using Long Division first if the fraction is improper
Practice Question 4 – Using Long Division first if the fraction is improper
MCQ Quiz : Using Long Division first if the fraction is improper
7) Binomial Theorem
12 Topics | 4 Quizzes
What is Binomial Theorem
The Combination Calculation – An Intuition
The Combination Calculation
The Binomial Expansion of (a+b) to the power of n
Finding a specific term in the expansion of (a+b) to the power of n
Practice Question 1 – The Binomial Expansion of (a+b) to the power of n
MCQ Quiz : The Binomial Expansion of (a+b) to the power of n
Practice Question 2a – Finding a specific term in the expansion of (a+b) to the power of n
Practice Question 2b – Finding a specific term in the expansion of (a+b) to the power of n
MCQ Quiz : Finding a specific term in the expansion of (a+b) to the power of n
The Binomial Expansion of (1+b) to the power of n
Practice Question 3 – The Binomial Expansion of (1+b) to the power of n
MCQ Quiz : The Binomial Expansion of (1+b) to the power of n
Finding a specific term in the expansion of (1+b) to the power of n
Practice Question 4 – Finding a specific term in the expansion of (1+b) to the power of n
MCQ Quiz : Finding a specific term in the expansion of (1+b) to the power of n
8) Coordinate Geometry
10 Topics | 2 Quizzes
What is Coordinate Geometry
Midpoint of the line joining two points
Practice Question 1 – Midpoint of the line joining two points
The shoelace formula with 3 points (Vertices)
The shoelace formula with 4 points (Vertices)
Practice Question 2 – The shoelace formula
MCQ Quiz : The shoelace formula
Parallel and Non-Parallel Lines
Practice Question 3 – Parallel and Non-Parallel Lines
Perpendicular Lines
Practice Question 4 – Perpendicular Lines
MCQ Quiz : Perpendicular Lines
9) Linear Law
9 Topics | 1 Quiz
What is Linear Law
Linear Law Y=mX+c
Linear Law Y=mX+c with examples
Linear Law Y=mX+c with more examples
MCQ Quiz : Linear Law Y=mX+c
Practice Question 1 – Linear Law
Application of Linear Law
Practice Question 2 – Application of Linear Law
Practice Question 3a – Linear Law (Using Logarithm)
Practice Question 3b – Linear Law (Using Logarithm)
10) Circles
3 Topics | 1 Quiz
Circles
Practice Question 2a – Circles
Practice Question 2b – Circles
MCQ Quiz : Circles
11) Trigonometric Functions
28 Topics | 5 Quizzes
Trigonometric Ratios of Acute Angles and Special Angles 𝜃
Trigonometric Ratios of Complementary Angles
General Angles 𝜃 and Basic Angle 𝛼
Practice Question 1a – General Angles 𝜃 and Basic Angle 𝛼
Practice Question 1b – General Angles 𝜃 and Basic Angle 𝛼
MCQ Quiz : General Angles and Basic Angle
Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2a – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2b – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2c – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2d – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2e – Trigonometric Ratios of General Angles 𝜃 (ASTC)
Practice Question 2f – Trigonometric Ratios of General Angles 𝜃 (ASTC)
MCQ Quiz : Trigonometric Ratios of General Angles (ASTC)
Basic Trigonometric Equations
Practice Question 3a – Basic Trigonometric Equations
Practice Question 3b – Basic Trigonometric Equations
MCQ Quiz : Basic Trigonometric Equations
Graphs of the Sine Function – Properties
Graphs of the Sine Function, a>0
Graphs of the Sine Function, a<0
Practice Question 4a – Graphs of the Sine Function
Practice Question 4b – Graphs of the Sine Function
MCQ Quiz : Graphs of the Sine Function
Graphs of the Cosine Function – Properties
Graphs of the Cosine Function, a>0
Graphs of the Cosine Function, a<0
Practice Question 5a – Graphs of the Cosine Function
Practice Question 5b – Graphs of the Cosine Function
MCQ Quiz : Graphs of the Cosine Function
Graphs of the Tangent Function – Properties
Graphs of the Tangent Function, a>0
Graphs of the Tangent Function, a<0
1) Simple Trigonometric Identities and Equations
11 Topics | 1 Quiz
𝑡𝑎𝑛 𝜃 = 𝑠𝑖𝑛 𝜃 / 𝑐𝑜𝑠 𝜃 where 𝑐𝑜𝑠 𝜃 ≠ 0
Secant, Cosecant and Cotangent Functions
Trigonometric Identities (1)
Trigonometric Identities (2)
Trigonometric Identities (3)
Practice Question 1 – Using the identities
Further Trigonometric Equations
Practice Question 2a – Further Trigonometric Equations
Practice Question 2b – Further Trigonometric Equations
Practice Question 2c – Further Trigonometric Equations
Practice Question 2d – Further Trigonometric Equations
MCQ Quiz : Further Trigonometric Equations
2) Further Trigonometric Identities
18 Topics | 3 Quizzes
Addition Formulae sin(A+B)
Addition Formulae sin(A-B)
Addition Formulae cos(A+B)
Addition Formulae cos(A-B)
Addition Formulae tan(A+B)
Addition Formulae tan(A-B)
Practice Question 1a – Addition Formulae
Practice Question 1b – Addition Formulae
Practice Question 1c – Addition Formulae
MCQ Quiz : Addition Formulae
Double Angle Formulae sin(2A)
Double Angle Formulae cos(2A)
Double Angle Formulae tan(2A)
Practice Question 2a – Double Angle Formulae
Practice Question 2b – Double Angle Formulae
Practice Question 2c – Double Angle Formulae
MCQ Quiz : Double Angle Formulae
R-Formulae
Practice Question 3a – R-Formulae
Practice Question 3b – R-Formulae
MCQ Quiz : R-Formulae
3) Differentiation
29 Topics | 5 Quizzes
Intuitive Approach , Let’s talk about gradient of a line (Positive Slope)
Intuitive Approach , Let’s talk about gradient of a line (Negative Slope)
Intuitive Approach , Let’s talk about gradient of a Curve
Intuitive Approach , when gradient of a curve is always positive
Intuitive Approach , when gradient of a curve is always negative
Intuitive Approach , when gradient is always 0
Intuitive Approach , when gradient of a curve goes from negative to positive
Intuitive Approach , when gradient of a curve goes from positive to negative
Differentiation – Gradient of a Curve at a Point
Definitions and Standard notations in Differentiation
Practice Question 1 – Differentiation – Gradient of a Curve at a Point
MCQ Quiz : Gradient of a Curve at a Point
Power Rule
Derivative of ax, where a is a constant
Derivative of a constant, c
Practice Question 2a – Power Rule
Practice Question 2b – Power Rule
Practice Question 2c – Power Rule
MCQ Quiz : Power Rule
Chain Rule
Practice Question 3a – Chain Rule
Practice Question 3b – Chain Rule
Practice Question 3c – Chain Rule
MCQ Quiz : Chain Rule
Product Rule
Practice Question 4a – Product Rule
Practice Question 4b – Product Rule
Practice Question 4c – Product Rule
MCQ Quiz : Product Rule
Quotient Rule
Practice Question 5a – Quotient Rule
Practice Question 5b – Quotient Rule
Practice Question 5c – Quotient Rule
MCQ Quiz : Quotient Rule
4) Equations of Tangent and Normal
5 Topics | 2 Quizzes
Recap Relationship between Gradient Function dydx and Tangent
Equation of Tangent
Practice Question 1 – Equation of Tangent
MCQ Quiz : Equation of Tangent
Equation of Normal
Practice Question 2 – Equation of Normal
MCQ Quiz : Equation of Normal
5) Rates of Change
7 Topics | 2 Quizzes
Rates of Change
Practice Question 1a – Rates of Change
Practice Question 1b – Rates of Change
Practice Question 1c – Rates of Change
MCQ Quiz : Rates of Change
Connected Rates of Change (Chain Rule)
Practice Question 2a – Connected Rates of Change (Chain Rule)
Practice Question 2b – Connected Rates of Change (Chain Rule)
MCQ Quiz : Connected Rates of Change (Chain Rule)
6) Maxima and Minima Problems
18 Topics | 7 Quizzes
What are Stationary Points
Practice Question 1a – Stationary Points
Practice Question 1b – Stationary Points
MCQ Quiz : Stationary Points
Types of Stationary Points
Maximum and Minimum Turning Point (First Derivative Test)
Practice Question 2 – Maximum and Minimum Turning Point (First Derivative Test)
MCQ Quiz : Maximum and Minimum Turning Point (First Derivative Test)
Stationary Point of inflexion (First Derivative Test)
Practice Question 3a – Stationary Point of inflexion (First Derivative Test)
Practice Question 3b – Stationary Point of inflexion (First Derivative Test)
MCQ Quiz : Stationary Point of inflexion (First Derivative Test)
First Derivative Test (Summary)
Maximum and Minimum Turning Point (Second Derivative Test)
MCQ Quiz : Maximum and Minimum Turning Point (Second Derivative Test)
Stationary Point of inflexion (Second Derivative Test, Cases When It Is Inconclusive)
MCQ Quiz : Stationary Point of inflexion (Second Derivative Test, Cases When It Is Inconclusive)
Maximum and Minimum Turning Point (Second Derivative Test, Cases When It Is Inconclusive)
MCQ Quiz : Maximum and Minimum Turning Point (Second Derivative Test, Cases When It Is Inconclusive)
Second Derivative Test (Summary)
Maximum and Minimum Values
Maximum and Minimum Values (Why only one stationary point?)
Practice Question 4a – Maximum and Minimum Values
Practice Question 4b – Maximum and Minimum Values – Application Question
MCQ Quiz : Maximum and Minimum Values
7) Further Differentiation
41 Topics | 6 Quizzes
Derivative of sin x
Derivative of cos x
Derivative of tan x
Practice Question 1a – Derivatives of sin x, cos x and tan x
Practice Question 1b – Derivatives of sin x, cos x and tan x
Practice Question 1c – Derivatives of sin x, cos x and tan x
Practice Question 1d – Derivatives of sin x, cos x and tan x
Practice Question 1e – Derivatives of sin x, cos x and tan x
Practice Question 1f – Derivatives of sin x, cos x and tan x
Practice Question 1g – Derivatives of sin x, cos x and tan x
Practice Question 1h – Derivatives of sin x, cos x and tan x
MCQ Quiz : Derivatives of sin x, cos x and tan x
Derivative of sin(ax+b), where a and b are constants
Derivative of cos(ax+b), where a and b are constants
Derivative of tan(ax+b), where a and b are constants
Practice Question 2a – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Practice Question 2b – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Practice Question 2c – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Practice Question 2d – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
MCQ Quiz : Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Derivative of sin x raised to the power of n, where n is a constant
Derivative of cos x raised to the power of n, where n is a constant
Derivative of tan x raised to the power of n, where n is a constant
Practice Question 3a – Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
Practice Question 3b – Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
Practice Question 3c – Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
MCQ Quiz : Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
Practice Question 3d – Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
Practice Question 3e – Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
Practice Question 3f – Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
MCQ Quiz : Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
Derivative of e to the power of x
Derivative of e to the power of ax+b, where a and b are constants
Practice Question 4a – Derivative of e to the power of ax+b
Practice Question 4b – Derivative of e to the power of ax+b
Practice Question 4c – Derivative of e to the power of ax+b
Practice Question 4d – Derivative of e to the power of ax+b
Practice Question 4e – Derivative of e to the power of ax+b
Practice Question 4f – Derivative of e to the power of ax+b
MCQ Quiz : Derivative of e to the power of ax+b
Derivative of ln x
Derivative of ln(ax+b), where a and b are constants
Practice Question 5a – Derivative of ln(ax+b)
Practice Question 5b – Derivative of ln(ax+b)
Practice Question 5c – Derivative of ln(ax+b)
Practice Question 5d – Derivative of ln(ax+b)
MCQ Quiz : Derivative of ln(ax+b)
8) Integration
31 Topics | 4 Quizzes
The Reverse of Differentiation
Indefinite Integral of ax^n
Indefinite Integral of ax^n – My Way of Teaching
Indefinite Integral of ax^n – Example Revisited
Practice Question 1a – Indefinite Integral of ax^n
Practice Question 1b – Indefinite Integral of ax^n
Practice Question 1c – Indefinite Integral of ax^n
Practice Question 1d – Indefinite Integral of ax^n
Practice Question 1e – Indefinite Integral of ax^n
Practice Question 1f – Indefinite Integral of ax^n
Practice Question 1g – Indefinite Integral of ax^n
Practice Question 1h – Indefinite Integral of ax^n
MCQ Quiz : Indefinite Integral of ax^n
Indefinite Integral of (ax+b)^n
Indefinite Integral of (ax+b)^n – My Way of Teaching
Practice Question 2a – Indefinite Integral of (ax+b)^n
Practice Question 2b – Indefinite Integral of (ax+b)^n
Practice Question 2c – Indefinite Integral of (ax+b)^n
Practice Question 2d – Indefinite Integral of (ax+b)^n
MCQ Quiz : Indefinite Integral of (ax+b)^n
Definite Integral, How to evaluate Definite Integral
Definite Integral, An Example (My Way Of Teaching)
Practice Question 3a – Definite Integral
Practice Question 3b – Definite Integral
Practice Question 3c – Definite Integral
Practice Question 3d – Definite Integral
MCQ Quiz : Definite Integral
Results on Definite Integrals (1)
Results on Definite Integrals (2)
Results on Definite Integrals (3)
Practice Question 4a – Results on Definite Integral
Practice Question 4b – Results on Definite Integral
Practice Question 4c – Results on Definite Integral
Practice Question 4d – Results on Definite Integral
MCQ Quiz : Results on Definite Integral
9) Further Integration
35 Topics | 8 Quizzes
Indefinite Integral of sin x
Indefinite Integral of cos x
Indefinite Integral of sec x raised to the power of 2
Practice Question 1a – Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1b – Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1c – Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
MCQ Quiz : Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1d – Definite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1e – Definite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1f – Definite Integrals of sin x, cos x and sec x raised to the power of 2
MCQ Quiz : Definite Integrals of sin x, cos x and sec x raised to the power of 2
Indefinite Integral of sin(ax+b), a not equal to 0
Indefinite Integral of cos(ax+b), a not equal to 0
Indefinite Integral of sec(ax+b) raised to the power of 2, a not equal to 0
Practice Question 2a – Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2b – Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2c – Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
MCQ Quiz : Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2d – Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2e – Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2f – Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
MCQ Quiz : Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Indefinite Integral of e to the power of x
Practice Question 3a – Indefinite Integral of e to the power of x
Practice Question 3b – Definite Integral of e to the power of x
Indefinite Integral of e to the power of ax+b, a not equal to 0
Practice Question 4a – Indefinite Integral of e to the power of ax+b
Practice Question 4b – Indefinite Integral of e to the power of ax+b
Practice Question 4c – Indefinite Integral of e to the power of ax+b
MCQ Quiz : Indefinite Integral of e to the power of ax+b
Practice Question 4d – Definite Integral of e to the power of ax+b
Practice Question 4e – Definite Integral of e to the power of ax+b
MCQ Quiz : Definite Integral of e to the power of ax+b
Indefinite Integral of x^-1, x>0
Practice Question 5a – Indefinite Integral of x^-1
Practice Question 5b – Definite Integral of x^-1
Indefinite Integral of (ax+b)^-1, ax+b greater than 0 and a not equal to 0
Practice Question 6a – Indefinite Integral of (ax+b)^-1
Practice Question 6b – Indefinite Integral of (ax+b)^-1
MCQ Quiz : Indefinite Integral of (ax+b)^-1
Practice Question 6c – Definite Integral of (ax+b)^-1
Practice Question 6d – Definite Integral of (ax+b)^-1
MCQ Quiz : Definite Integral of (ax+b)^-1
10) Applications of Integration
17 Topics
Using Definite Integral to find Area (x-axis) (1)
Using Definite Integral to find Area (x-axis) (2)
Practice Question 1a – Using Definite Integral to find Area (x-axis)
Practice Question 1b – Using Definite Integral to find Area (x-axis)
Practice Question 1c – Using Definite Integral to find Area (x-axis)
Practice Question 1d – Using Definite Integral to find Area (x-axis)
Practice Question 1g – Using Definite Integral to find Area (x-axis)
Using Definite Integral to find Area (y-axis) (1)
Using Definite Integral to find Area (y-axis) (2)
Practice Question 2a – Using Definite Integral to find Area (y-axis)
Practice Question 2b – Using Definite Integral to find Area (y-axis)
Practice Question 2c – Using Definite Integral to find Area (y-axis)
Practice Question 2d – Using Definite Integral to find Area (y-axis)
Practice Question 2e – Using Definite Integral to find Area (y-axis)
Definite Integral : Area Bounded by a Curve And Line(s)
Practice Question 3a – Definite Integral : Area Bounded by a Curve And Line(s)
Practice Question 3b – Definite Integral : Area Bounded by a Curve And Line(s)
11) Kinematics
14 Topics | 2 Quizzes
Introduction to Kinematics
Distance
Displacement
Average Speed
Speed and Velocity
Speed and Velocity – With Illustrations
Acceleration
Acceleration – With Illustrations
Practice Question 1a – Kinematics
Practice Question 1b – Kinematics
Practice Question 1c – Kinematics
Practice Question 1d – Kinematics
MCQ Quiz : Kinematics
Displacement, Velocity and Acceleration
Practice Question 2 – Kinematics
MCQ Quiz : Kinematics
12) Plane Geometry
4 Topics
Midpoint Theorem
Practice Question 1a – Midpoint Theorem
Alternate Segment Theorem (Tangent-Chord Theorem)
Practice Question 2a – Alternate Segment Theorem (Tangent-Chord Theorem)
Next Lesson

1) Simultaneous Linear and Non-Linear Equations

2) Secondary 4 Additional Mathematics (yearly access) 1) Simultaneous Linear and Non-Linear Equations

In this chapter, you will be learning

  • What are Simultaneous Equations
  • Linear Equations
  • Non-Linear Equations
  • How to solve Simultaneous Equations involving Linear Equations using Substitution Method
  • Interpreting Simultaneous Equations involving Linear Equations on a graph
  • How to solve Simultaneous Equations involving Non-Linear Equations using Substitution Method
  • Interpreting Simultaneous Equations involving Non-Linear Equations on a graph
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